Products of regular locally compact spaces are k_R-spaces
H. Glöckner, N. Masbough, Topology Proceedings 55 (2020) 35–38.

Direct limits of infinite-dimensional Lie groups
H. Glöckner, in: Developments and Trends in Infinite-Dimensional Lie Theory, Basel: Birkhäuser, 2011, pp. 243–280.